F5 AM (23/1)

 $y=\left(x^2+2\right)\left(3x-5\right)$  

•  $\frac{\text{d}y}{\text{d}x}=6x^2-10x+6$  

•  $\frac{\text{d}y}{\text{d}x}=9x^2-10x+6$  

•  $\frac{\text{d}y}{\text{d}x}=6x^3-10x^2+6$  

•  $\frac{\text{d}y}{\text{d}x}=9x^2-14x+6$  

 $y=\left(x^2+2\right)\left(3x-5\right)$  

•  $\frac{\text{d}y}{\text{d}x}=3x^3-5x^2+6x-10$  

•  $\frac{\text{d}y}{\text{d}x}=10x^2-9x+6$  

•  $\frac{\text{d}y}{\text{d}x}=9x^2-10x+6$  

•  $\frac{\text{d}y}{\text{d}x}=3x^2-10x+6$  

 $y=\frac{x^2+2}{3x-1}$  

•  $\frac{\text{d}y}{\text{d}x}=3x^2-2x-6$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{3x+2x+3}{\left(3x-1\right)^2}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{3x^2-2x-6}{\left(3x-1\right)^2}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{\left(3x-1\right)^2}{3x^2-2x-6}$  

 $y=\frac{4x^2+1}{x^4+5x}$  

•  $\frac{\text{d}y}{\text{d}x}=8x^3+4x^2-5$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{8x^5+4x^3+20x^2-5}{\left(x^4+5x\right)^2}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{\left(x^4-5x\right)^2}{8x^5+4x^3}$  

•  $\frac{\text{d}y}{\text{d}x}=20x^2-5$  

 $y=\frac{x^4+5}{x^2-2}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{2x^5-8x^3+10x}{\left(x^2-2\right)^2}$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{x^4-4x^2+4}{2x^5-8x^3+10x}$  

•  $\frac{\text{d}y}{\text{d}x}=2x^5-8x^3+10x$  

•  $\frac{\text{d}y}{\text{d}x}=x^4-4x^2+4$  

 $y=\left(3x^2-5\right)\left(5x^4+2x\right)$  

•  $\frac{\text{d}y}{\text{d}x}=90x^5-100x^3+18x^2-10$  

•  $\frac{\text{d}y}{\text{d}x}=90x^4-100x^3+18x^2-10$  

•  $\frac{\text{d}y}{\text{d}x}=90x^5-100x^2+18x$  

•  $\frac{\text{d}y}{\text{d}x}=90x^5-100x^3-10$  

 $y=\frac{6x^2+5}{x^3-x}$  

•  $\frac{\text{d}y}{\text{d}x}=18x^4+5x^3-4x$  

•  $\frac{\text{d}y}{\text{d}x}=9x^5-10x^3$  

•  $\frac{\text{d}y}{\text{d}x}=-6x^4-21x^2+5$  

•  $\frac{\text{d}y}{\text{d}x}=\frac{-6x^4-21x^2+5}{\left(x^3-x\right)^2}$  

 $y=\left(x+4\right)\left(x^2+15\right)$  

•  $\frac{dy}{dx}=-6x^4-5$  

•  $\frac{dy}{dx}=x^2+5$  

•  $\frac{dy}{dx}=3x^2+8x+15$  

•  $\frac{dy}{dx}=x^3+4x^2+15x+60$  

 $y=\frac{8x^2+x}{x-1}$  

•  $\frac{\text{d}y}{\text{d}x}=16x+1$  

•  $\frac{dy}{dx}=8x^2-16x-1$  

•  $\frac{dy}{dx}=8x^2+16x+1$  

•  $\frac{dy}{dx}=8x^2-16x+1$  

 $y=\left(\frac{1}{4}x+5\right)\left(x+7\right)$  

•  $\frac{dy}{dx}=\frac{1}{2}x+\frac{27}{4}$  

•  $\frac{dy}{dx}=\frac{1}{4x}-\frac{25}{4}$  

•  $\frac{dy}{dx}=\frac{1}{4}x-\frac{13}{4}$  

•  $\frac{dy}{dx}=x+\frac{27}{4}$